Question

The first equation in the system models the heights in feet, h, of a falling baseball as a function of time, t. The second equation models the heights in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t. Which statement describes the situation modeled by this system?

h=35=16t^2
h=6+18t-16t^2

The height of the baseball is 18 feet at the moment the player begins to leap.
The height of the baseball is 16 feet at the moment the player begins to leap.
The height of the baseball is 35 feet at the moment the player begins to leap.
The height of the baseball is 6 feet at the moment the player begins to leap.

Answer 1

C. • The height of the baseball is 35 feet at the moment the player begins to leap.

Explanation:

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Answer 2

The height of the baseball is 35 feet at the moment the player begins to leap.

Explanation:

We are given equations as:

h(t)=35+16t^2--------(1)

Where h represents the heights in feet, h, of a falling baseball as a function of time, t.

The second equation is given as:

h(t)=6+18t-16t^2-------(2)

Where h represents the heights in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

Hence when at the time of leap i.e. at t=0.

first equation i.e. equation (1) yields h(0)=35 i.e. it represents:

" The height of the baseball is 35 feet at the moment the player begins to leap "

Hence option: C is correct.